869164800 has 432 divisors, whose sum is σ = 3406448640. Its totient is φ = 190955520.

The previous prime is 869164757. The next prime is 869164811. The reversal of 869164800 is 8461968.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3897489 + ... + 3897711.

Almost surely, 2^869164800 is an apocalyptic number.

869164800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703224320).

869164800 is an abundant number, since it is smaller than the sum of its proper divisors (2537283840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

869164800 is a wasteful number, since it uses less digits than its factorization.

869164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 869164800 is about 29481.6010420058. The cubic root of 869164800 is about 954.3346882420.

The spelling of 869164800 in words is "eight hundred sixty-nine million, one hundred sixty-four thousand, eight hundred".